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\begin{equation}
y=C_1 e^{r_1z}+C_2 e^{r_2 z}=C_1 e^{r_1 \ln x}+C_2 e^{r_2 \ln x}=C_1 x^{r_1}+C_2 x^{r_2}.\tag{5.4.3}
\end{equation}
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